TY - JOUR
T1 - Existence and uniqueness of stationary solutions to bioconvective flow equations
AU - Boldrini, José Luiz
AU - Ojas-Medar, Marko Antonio
AU - Rojas-Medar, Maria Drina
PY - 2013/4/29
Y1 - 2013/4/29
N2 - We analyze a system of nonlinear partial differential equations modeling the stationary flow induced by the upward swimming of certain microorganisms in a fluid. We consider the realistic case in which the effective viscosity of the fluid depends on the concentration of such microorganisms. Under certain conditions, we prove the existence and uniqueness of solutions for such generalized bioconvective flow equations.
AB - We analyze a system of nonlinear partial differential equations modeling the stationary flow induced by the upward swimming of certain microorganisms in a fluid. We consider the realistic case in which the effective viscosity of the fluid depends on the concentration of such microorganisms. Under certain conditions, we prove the existence and uniqueness of solutions for such generalized bioconvective flow equations.
KW - Bioconvective flow
KW - Stationary solutions
UR - https://www.scopus.com/pages/publications/84877013101
M3 - Article
AN - SCOPUS:84877013101
SN - 1072-6691
VL - 2013
JO - Electronic Journal of Differential Equations
JF - Electronic Journal of Differential Equations
ER -